Number theoretic applications of a class of Cantor series fractal functions, II

DOI10.1142/S1793042115500219zbMath1320.11068arXiv1310.2379OpenAlexW2963836558MaRDI QIDQ5248131

Bill Mance, Brian Li

Publication date: 27 April 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2379

zbMATH Keywords

normal numbersCantor seriesuniformly distributed sequences

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (6)

The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions ⋮ Normality preserving operations for Cantor series expansions and associated fractals. I ⋮ Normality of different orders for Cantor series expansions ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ Unexpected distribution phenomenon resulting from Cantor series expansions ⋮ RESEARCH ON RISK MEASUREMENT OF SUPPLY CHAIN FINANCE BASED ON FRACTAL THEORY

Cites Work

• Representations of real numbers by infinite series
• Über den Satz von Borel-Renyi in der Theorie der Cantorschen Reihen
• On the definition of normal numbers
• A short proof of Pillai's theorem on normal numbers
• On a paper of Niven and Zuckerman
• The Construction of Decimals Normal in the Scale of Ten
• Construction of normal numbers with respect to the Q-Cantor series expansion for certain Q
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Note on normal numbers
• An example of a computable absolutely normal number

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